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olasank [31]
2 years ago
5

4+5(p-1) how to expand brackets and then simplify

Mathematics
1 answer:
Valentin [98]2 years ago
4 0

Step-by-step explanation:

these are multiplications.

you could also write

4 + 5×(p - 1)

now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.

if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.

so,

4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1

remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).

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PLEASE ANSWER ASAP
mote1985 [20]

Answer:

y = 2(3)^{x}

Step-by-step explanation:

For the exponential function in the form

y = ab^{x}

Use ordered pairs from the table to find a and b

Using (0, 2 ), then

2 = ab^{0} ( b^{0} = 1 ) , thus

a = 2, so

y = 2b^{x}

Using (1, 6 ) , then

6 = 2b ( divide both sides by 2 )

b = 3

Thus the exponential function is

y = 2(3)^{x}

8 0
3 years ago
If x varies directly as y, and<br> X = 24 when y= 21, Find x when<br> Y=6
Ne4ueva [31]

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

7 0
1 year ago
There are 9 red, 5 yellow, and 7 green jellybeans in a jar. Without replacement what is the probability of choosing a green jell
Mrac [35]

Answer:

3/14 chance first draw

Step-by-step explanation:

There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.

Probability the 1st draw is red = 3/14.

Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.

Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.

3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.

8 0
2 years ago
Which of the point-slope equations below is correct for the line that passes through points (5,6) and (1,1)?
kherson [118]
It's y-6=5/4(x-5) which is C
6 0
3 years ago
Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate
professor190 [17]

9514 1404 393

Answer:

  3.4%

Step-by-step explanation:

The total amount due is ...

  A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

  33829.50 = 28500(1 +66/12r)

  1.187 = 1 +5.5r . . . . . divide by 28500, simplify

  0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

3 0
3 years ago
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